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Finding the Fourth Proportional to 1,214.97, 1,823.37 and 659.70

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Solution

The fourth proportional to 1,214.97, 1,823.37 and 659.70 is: 990.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.97 : 1,823.37 = 659.70 : x
  2. Step 2: Convert to fraction form
    1,214.97/1,823.37 = 659.70/x
  3. Step 3: Cross multiply
    1,214.97x = 1,823.37 × 659.70
  4. Step 4: Simplify right side
    1,214.97x = 1,202,877.19
  5. Step 5: Solve for x
    x = 1,202,877.19/1,214.97
  6. Step 6: Final answer
    x = 990.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.